10646574136400 has 120 divisors (see below), whose sum is σ = 25941363896448. Its totient is φ = 4198210240000.

The previous prime is 10646574136397. The next prime is 10646574136409. The reversal of 10646574136400 is 463147564601.

10646574136400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646574136400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646574136409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472309130 + ... + 472331670.

Almost surely, 2^{10646574136400} is an apocalyptic number.

10646574136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646574136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970681948224).

10646574136400 is an abundant number, since it is smaller than the sum of its proper divisors (15294789760048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10646574136400 is a wasteful number, since it uses less digits than its factorization.

10646574136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39261 (or 39250 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 10646574136400 in words is "ten trillion, six hundred forty-six billion, five hundred seventy-four million, one hundred thirty-six thousand, four hundred".